Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
Un volcan lanza una roca con una rapidez de 47.5 m/s con un angulo de 39.4° sobre el eje x. La roca toca el suelo a 1750 m por debajo de la altura inicial si se desprecia la resistencia del aire y considerando un valor constante de aceleracion debido a la gravedad de 9.81 m/s¨2 cual es el tiempo en completar la trayectoria
Explicación paso a paso:
El tiempo necesario para completar la trayectoria se conoce como tiempo de vuelo.
Tiempo de vuelo = dónde;
U es la velocidad inicial del cuerpo = 47,5 m / s
es el ángulo de lanzamiento = 39,4 °
g es la aceleración debida a la gravedad = 9,81 m / s²
Sustituyendo los parámetros dados en la fórmula anterior, tendremos;
[tex]T = \dfrac{2(47.5)sin39.4^0}{9.81} \\\\T = \dfrac{95sin39.4^0}{9.81} \\\\T = \dfrac{95*0.6347}{9.81} \\\\T = \dfrac{60.2994}{9.81} \\\\T =6.1467 secs[/tex]
El tiempo necesario para completar la trayectoria es de 6.1467 segundos.
4.) Solve for N
7.) Solve for F
Answer:
See Below
Step-by-step explanation:
4) t = n -r Solve for n
Add r to both sides
t = n -r
+r +r
t +r = n
Or n = t+r
7) [tex]\frac{f}{g}[/tex] = h Solve for f
Multiply both sides by g to get rid of fraction
g/1 (f/g) = h(g)
f = hg
can someone please help me witch is the answer 20 points to the one who can answer first
First, let's find the slope.
Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5
So far our equation looks like: y = 5x + b
Leta plug one of the points into our equation to find b.
-3 = 5(0) + b
Simplify.
-3 = b
The equation is: y = 5x - 3
Answer choice B is correct.
what is the inverse of f(x) = -10x - 2
Answer:
f^-1(x)-(x/10)-(1/5).
Hope this helps!
Step-by-step explanation:
(See picture for explanation!)
Write 807,530,012 in Word Form
Answer:
eight hundred seven million, five hundred thirty thousand and twelvewhat does x and y equal ?
Answer:
Solve for x or y, Ax + By = 0
x=1 y=unknown number.
Step-by-step explanation:
What is the absolute value of 2.5
☽------------❀-------------☾
Hi there!
~
The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5
❀Hope this helped you!❀
☽------------❀-------------☾
A landscaping company is laying a triangular flower bed. The height of the trangle is 15ft. What lengths of the base will make the area at least 210ft squared?
Answer:
28 ft
Step-by-step explanation:
The height of the triangle = 15 ft
The least required area A = 210 ft^2
We know that the area of a triangle = 1/2bh
Where
b is the base
h is the height
Substituting, we have
210 = 1/2 x b x 15
210 = 15/2 x b
420/15 = b
b = 28 ft
How to reflect the triangle below across the line y = x.
Answer:
pre-image coordinates (x,y) imagine coordinates (y,x)
Step-by-step explanation:
bascially just switch the x and y coordinates and keep the sign :)
5x - 4 + 2x = 3
Need help ASAP!!!!!
Answer: x=1
Step-by-step explanation:
5x-4+2x=3
+4 +4
5x+2x=7
7x=7
x=1
Answer:
x=1
Step-by-step explanation:
5x - 4 +2x =3
5x +2x =3 +4
7x =7
x=7 :7
x=1
What is an algebraic expression for "2 less than the product of 3 and a number x"? *
Answer:
3x-2
Step-by-step explanation:
The algebraic expression is 3x -2.
What is an algebraic expression?Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine an algebraic expression for "2 less than the product of 3 and a number x"
Here, the product of 3 and a number x
⇒ 3x
Therefore, 2 is less than the product of 3, and a number x as
⇒ 3x -2
Hence, the algebraic expression is 3x -2.
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-7y + 3 – 12 – 2y
What is the answer
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?
Answer:
42
Step-by-step explanation:
D-42 on EDG.
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. The polygon has rotated 42 times after 7 minutes.
A polygon is known to be a plane figure with at least three equal sides and angles.
From the given information,
the sides of the polygon = 60 sidestime to complete a single rotation for 60 sides = 1 hourIn one full revolution, there are = 360°To estimate the revolution completed in 1 minute, we have:
[tex]\mathbf{= \dfrac{360 \ ^ 0}{60 \ ^ 0} }[/tex]
= 6° per minute
Now, to determine how much the polygon has rotated after 7 minutes, we have:
= (6° / minute) × 7 minutes
= 42°
Therefore, we can conclude that the polygon has rotated 42° in 7 minutes,
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Explanation & Process Needed
Answer:
∠ BOF = 32°
Step-by-step explanation:
Since AB is a straight line, then
∠ AOE + ∠ EOD + ∠ DOE = 180° , substitute values
90 + x + 8 + 2x - 8 = 180 , that is
3x + 90 = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
∠ DOB = 2x - 8 = 2(30) - 8 = 60 - 8 = 52°
∠ COF = 4x - 24 = 4(30) - 24 = 120 - 24 = 96°
∠ AOC = ∠ DOB ( vertical angles ), thus
y = 52, then
∠ BOF = 180° - (96 + 52)° = 180° - 148° = 32° ( angles on a straight line )
If a triangle is an equilateral triangle, then the triangle has exactly three 60°
angles. △ABC is an equilateral triangle?
Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
x=60°
Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
Question 3 1 pts Strawberries are on sale $7.00 for 3 pints. How much do they cost per pint?
Answer:
$2.33
Step-by-step explanation:
To find how much strawberries cost per pint, we would divide the seven dollars by 3 which will tell us how much each pint costs. Hope this helps, have a great day!
A student has a part time job in which she works 4 hour shifts. Her pay scale is $5.25 hour. How many shifts must she work to earn $220?
Answer:
Earning on one shift = 4**5.25= 21
to earn 220 she had to do 220/21= 10.48 shifts
resultado de
[tex](4 + 5 + 3) + 8 = [/tex]
Steps to solve:
(4 + 5 + 3) + 8
~Add everything in parenthesis
12 + 8
~Add
20
Best of Luck!
[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]
Solution:By using parenthesis, we get
[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]
Answer:[tex] \huge \purple {\tt {20}} [/tex]
The table shows the total cost, p, for renting a playroom for a birthday party with c party guests. Number of Party Guests (C) Total Cost (p), in Dollars 3 274 7 306 12 346 21 418 Which of the following equations represents the input/output table using function notation? O A. p = 8c + 250 O B. p = 258c C. f(c) = 8c + 250 O D. f(p) = 8c - 250
Answer:
Option (A)
Step-by-step explanation:
Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b
m = Slope of the line
b = y-intercept
Choose the two ordered pairs from the table (3, 274) and (7, 306).
Slope of the function 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{306-274}{7-3}[/tex]
m = 8
Since, equation of a line passing through (x', y') and slope m is,
y - y' = m(x - x')
Therefore, equation of a line passing through (3, 274) and slope = 8,
y - 274 = 8(x - 3)
y - 274 = 8x - 24
y = 8x + 274 - 24
y = 8x + 250
Since, y = p and x = c
Therefore, p = 8c + 250 will be the equation.
Option (A) is the answer.
Answer:ok
Step-by-step explanation: the answer is A
Find each rate and unit rate $8.96 for 8 pounds of grapefruit?
Answer:
the answer should be 0.96
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
The rate of change of the function at x = 0.6 is approximately -0.72
Step-by-step explanation:
The given information from the graph are;
Points (0, 0) and (1, -0.5)
We have that the graph is that of a cubic function, therefore;
f(x) = ax³ + bx² + cx + d
At f'(x) at (0, 0) and (1, -0.5) = 0 gives;
3ax² + 2bx + c = 0
∴ c = 0
Also
ax³ + bx² + cx + d = 0
d = 0
We have
3a(1)² + 2b(1) + 0 = 0
3·a + 2·b = 0..............(1)
a(1)³ + b(1)² + c(1) + d = -0.5
a + b + 0×(1) + 0 = -0.5
a + b = -0.5..........(2)
Multiplying equation (2) by 2 and subtracting it from equation (1) gives;
2 × (a + b = -0.5) = 2·a + 2·b = -1
3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1
a = 1
From
a + b = -0.5, we have;
1 + b = -0.5 = 0
b = -0.5 - 1 = -1.5
The equation becomes
f(x) = x³ - 1.5·x²
The rate of change of the function at x = 0.6 is therefore given as follows;
f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x
At x = 0.6, we have;
f'(0.6) = 3·(0.6)² - 3·(0.6)
f'(0.6) = 3×0.6² - 3×0.6 = -0.72
The rate of change of the function at x = 0.6 ≈ -0.72
A pyramid has a square base with an area of 225 2. What is the perimeter of the base of the pyramid
Answer:
60 square unit
Step-by-step explanation:
side = √225.2 = 15
perimeter = side x 4
perimeter = 15 x 4 = 60 square unit
HELP I'M GONNA FAIL
Answer:
1/10
Step-by-step explanation:
7000/70000=1/10
the length of the rectangle is twice the breadth. the area of the rectangle is 128m2. find the length of the rectangle
Answer:
length =16
Step-by-step explanation:
area= breadth*length
length = 2 breadth --equation 1
(the length of the rectangle is twice the breadth)
128m^2= breadth*2 breadth
128m^2= 2 breadth^2
breadth^2= 128/2m^2
breadth^2=64m^2
taking square root on both sides
[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{64m^2}[/tex]
[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{(8m)^2}[/tex]
breadth= 8m (cancelling square root with power 2
put breadth in equation 1
length= 2*8
length= 16
CHECK:
area of rectangle = breadth * length
area= 8*16
area=128
You deposit $6000 in an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?
Answer:
13,200
Step-by-step explanation:
6000/100=60
60x8=480
480x15=7,200
6,000+7,200=13,200
If the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
What is compound interest?Compound interest is the interest calculated on the principal and the aggregate interest. It may be copounded annually,semi annually, monthly, bimonthly,etc.
How to calculate interest?We have been given that the deposit is $6000,rate is 8% which is compounded monthly.
So effective rate of interest will be 8/1200=0.0067.
n will be 15*12=180
The sum after 15 years=6000[tex](1+0.0067)^{180}[/tex]
S=6000[tex](1+0.0067)^{180}[/tex]
Take log both sides.
log S=log 6000[tex](1+0.0067)^{180}[/tex]
log S=log 6000+log [tex](1+0.0067)^{180}[/tex]
log S=log 6000+180 log (1.0067)
log S=3.7781+180*0.0029
log S=3.7781+0.522
log S=4.3001
S=AL (4.3001)
S=19957.218
Hence if the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.
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round 27.68 to the nearest tenth
Answer:
27.7
Step-by-step explanation:
For this problem, we will simply use standard rounding conventions to round the number to the nearest tenth.
If the number after the target, the hundreths place in this case, is between 0 and 4, we won't change the tenths place. If the number is between 5 and 9, we will increment the tenths place by one.
So for our number, 27.68, 8 is between 5 and 9 so we will increment the tenths place by one for the round.
Hence, our rounded answer for the nearest tenth is 27.7.
Cheers.
A bag of candy contains 203 pieces. Each person in the room receives 10 picces of candy and there are 3 pieces of
candy left over. Write and solve an equation to find how many people were in the room.
Answer:20
Step-by-step explanation:
You take 203 and subtract 3 since you know you have 3 pieces left over you then divide 209 by 10 and get 20!!
Answer:
20 people
Step-by-step explanation:
Did it in my head
Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write
an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
2 (12 + w) + 2w < 560
(12 + 2) + w < 560
o 2(12 + w) + 2w< 560
0 (12+w) + w < 560
Answer:
2(2W+12) < 560
Step-by-step explanation:
Perimeter of a rectangular dog pen P = 2(L+W) where;
L is the length of the dog pen
W is the width of the dog pen
If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12
If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560
The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)
Substituting the given parameters;
2([W+12]+W)<560
2(2W+12)<560
Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560
A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?
what is the value of this expression when p=-2 and q=-1 [(p^2)(q^-3)]^-2
Answer:
Find the exact value using trigonometric identities.
Exact Form: 1/16
Decimal Form:
0.0625
Step-by-step explanation: